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Finding the Fourth Proportional to 4,212.09, 6,318.10 and 1,092.08

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Solution

The fourth proportional to 4,212.09, 6,318.10 and 1,092.08 is: 1,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.09 : 6,318.10 = 1,092.08 : x
  2. Step 2: Convert to fraction form
    4,212.09/6,318.10 = 1,092.08/x
  3. Step 3: Cross multiply
    4,212.09x = 6,318.10 × 1,092.08
  4. Step 4: Simplify right side
    4,212.09x = 6,899,870.65
  5. Step 5: Solve for x
    x = 6,899,870.65/4,212.09
  6. Step 6: Final answer
    x = 1,638.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.